English

Hom-alternative modules and Hom-Poisson comodules

Rings and Algebras 2016-01-27 v2

Abstract

In this paper we introduce modules over both left and right Hom-alternative algebras. We give some constructions of left and right Hom-alternative modules and give various properties of both, as well as examples. Then, we prove that morphisms of left alternative algebras extend to morphisms of left Hom-alternative algebras. Next, we introduce comodules over Hom-Poisson coalgebras and show that we may obtain a structure map of a comodule over a Hom-Poisson coalgebra from a given one.

Keywords

Cite

@article{arxiv.1411.7957,
  title  = {Hom-alternative modules and Hom-Poisson comodules},
  author = {Ibrahima Bakayoko and Bakary Manga},
  journal= {arXiv preprint arXiv:1411.7957},
  year   = {2016}
}

Comments

14 pages, major updates

R2 v1 2026-06-22T07:15:16.971Z